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Finding the Fourth Proportional to 1,564.37, 2,157.62 and 1,092.11

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Solution

The fourth proportional to 1,564.37, 2,157.62 and 1,092.11 is: 1,506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.37 : 2,157.62 = 1,092.11 : x
  2. Step 2: Convert to fraction form
    1,564.37/2,157.62 = 1,092.11/x
  3. Step 3: Cross multiply
    1,564.37x = 2,157.62 × 1,092.11
  4. Step 4: Simplify right side
    1,564.37x = 2,356,358.38
  5. Step 5: Solve for x
    x = 2,356,358.38/1,564.37
  6. Step 6: Final answer
    x = 1,506.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.